An Analog of the Adjugate Matrix for the Outer Inverse AT,S(2)
Xiaoji Liu, Guangyan Zhu, Guangping Zhou, Yaoming Yu · Mathematical Problems in Engineering · 2012
We investigate the determinantal representation by exploiting the limiting expression for the generalized inverse . We show the equivalent relationship between the existence and limiting expression of and some limiting processes of matrices and deduce the new determinantal representations of , based on some analog of the classical adjoint matrix. Using the analog of the classical adjoint matrix, we present Cramer rules for the restricted matrix equation .